The claim made in the article is regarding saturated fats, not cholesterol, as dietary cholesterol is not obtained from plant sources like coconut oil. Plants do produce phytosterols, which compete with cholesterol for absorption & may lower serum cholesterol.

https://www.ncbi.nlm.nih.gov/pubmed/15166807 https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2793103/